Friday, January 13, 2012

Polar

A coordinate (x,y) in xy-plane can be written in polar form , where r is the directed distance from (0,0) to (x, y), and is the directed angle formed by the vector <x, y> from the positive side of x-axis:






There are some interesting graphs can be obtained through polar equations, such as
  1. Limaçon : or , where
  2. Cardioid : or
  3. Rose : or
  4. Lemniscate : or
  5. Spiral :
etc.

Click on the content alongside to look at the shapes mentioned above.

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